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紧支撑多重向量值正交小波包的性质 被引量：4

The Properties of Compactly Supported Orthogonal Multiple Vector-Valued Wavelet Packets
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摘要 给出紧支撑多重向量值正交小波包的定义及构造方法.运用矩阵理论与积分变换,研究了多重向量值正交小波包的性质,得到三个正交性公式.进而,得到空间L2(R,Cr)的一个新的规范正交基. The definition for compactly supported orthogonal multiple vector-valued wavelet packets of L^2（R,C^r） is given. A procedure for constructing a class of orthogonal multiple vector-valued wavelet packets is presented. The property of orthogonal multiple vector-valued wavelet packets has been investigated by using matrix theory and integral transform. Three orthogonality formulas are obtained. Finally, a new orthonormal basis of L^2（R,C^r） is obtained from the orthogonal multiple vector-valued wavelet packets.
作者 陈清江 谢时新 程正兴
机构地区 西安交通大学理学院 商丘职业技术学院计算机系
出处 《数学的实践与认识》 CSCD 北大核心 2006年第8期324-330,共7页 Mathematics in Practice and Theory
基金 河南省自然科学基金(0211044800)
关键词 多重 正交 加细方程 向量值多分辨分析 向敛值尺度函数 向量值小波包 multiple orthogonal refinement equation vector-valued multiresolution analysis vector-valued scaling functions vector-valued wavelet packets
分类号 O174.2 [理学—基础数学]
  • 相关文献

参考文献9

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二级参考文献13

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共引文献45

同被引文献21

  • 1陈清江,程正兴,杨守志.向量值正交小波包[J].应用数学,2005,18(4):505-511. 被引量：16
  • 2杨守志,李尤发.具有高逼近阶和正则性的双向加细函数和双向小波[J].中国科学（A辑）,2007,37(7):779-795. 被引量：30
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引证文献4

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数学的实践与认识
2006年 第8期

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